Distributive Property, Like Terms, Creating Expressions Flashcard

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Give an example of the Distributive Property.

Back

4(a - 3) = 4a - 12 is an example of the Distributive Property.

Front

What are Like Terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine Like Terms?

Back

To combine like terms, add or subtract their coefficients. For example, 3x + 5x = 8x.

Front

What does it mean to Factor an Expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 24 + 16q.

Back

8(3 + 2q) is the factored form of 24 + 16q.

Front

What is an Expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What is the result of applying the Distributive Property to -2(a*b)?

Back

-2(a*b) = -2a*b.

Front

How do you express a price after a percentage discount?

Back

To express a price after a percentage discount, use the formula: New Price = Original Price - (Discount Percentage × Original Price).

Front

What is the expression for a 9% discount on price p?

Back

The expression for the new price after a 9% discount is p - 0.09p.